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Finding the Fourth Proportional to 2,774.53, 4,161.39 and 1,042.75

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Solution

The fourth proportional to 2,774.53, 4,161.39 and 1,042.75 is: 1,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.53 : 4,161.39 = 1,042.75 : x
  2. Step 2: Convert to fraction form
    2,774.53/4,161.39 = 1,042.75/x
  3. Step 3: Cross multiply
    2,774.53x = 4,161.39 × 1,042.75
  4. Step 4: Simplify right side
    2,774.53x = 4,339,289.42
  5. Step 5: Solve for x
    x = 4,339,289.42/2,774.53
  6. Step 6: Final answer
    x = 1,563.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.